Both veteran quarterbacks are being pursued by other teams, which could drive the price up. Fiedler met with the Giants last week and is slated to do the same with the Jets. Before coming to Chicago, Johnson will be in Detroit on Wednesday.
As reported Sunday, the Bears are turning up their effort to improve the worst pass protection in football.
Veteran RT Fred Miller arrived in Chicago on Sunday. He appears to be down to the Bears and New Orleans as possible suitors.
Miller has 102 consecutive starts, including the last 80 with the Tennessee Titans. The 6-foot-7, 320-pound, Miller would be an ideal replacement for John Tait, who is scheduled to move from right to left tackle this season after the Bears suffered through last season with Qasim Mitchell on the left side.
Mitchell is currently slated to start at right tackle, but the Bears would prefer to upgrade the position through free agency.
Miller, 32, could help bridge the gap between Mitchell being ready to start or give time for a tackle to develop if the Bears decide to take one in the draft.
The Saints recently signed Jermane Mayberry to a deal, which could take Miller out of their equation. The benefit for the Bears would be signing Miller at the their price. The Titans cut him because he would have counted $9.32 million toward the cap in 2005.
The Bears are also talking to the Cardinals about tackle L.J. Shelton, but the two teams have not been able to agree on compensation.